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Finding the Third Proportional to 44,622 and 71,743.50

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Solution

The third proportional to 44,622 and 71,743.50 is: 115,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,622 : 71,743.50 = 71,743.50 : x
  2. Step 2: Convert to fraction form
    44,622/71,743.50 = 71,743.50/x
  3. Step 3: Cross multiply
    44,622x = 71,743.50 × 71,743.50
  4. Step 4: Simplify right side
    44,622x = 5,147,129,792.25
  5. Step 5: Solve for x
    x = 5,147,129,792.25/44,622
  6. Step 6: Final answer
    x = 115,349.60

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.